Tangent Secant Theorem Values (Level 1)

This math topic focuses on applying the tangent secant theorem from circle geometry. It includes multiple problems where students must determine the length of variable \(X\) in various circle arrangements involving tangents and secants. Each problem is solved by implementing circular geometry rules; students are given multiple choice answers to select from. This topic is part of a larger unit reviewing circular geometry rules.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Tangent Secant Theorem Values Worksheet

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Geometry of Circles - Tangent Secant Theorem Values
1
What is the length of X?
An svg image showing a math problem
a
10
b
18
c
16
d
14
e
9
2
What is the length of X?
An svg image showing a math problem
a
10
b
16
c
17
d
20
e
15
f
12
3
What is the length of X?
An svg image showing a math problem
a
12
b
17
c
15
d
11
e
16
f
8
4
What is the length of X?
An svg image showing a math problem
a
11
b
13
c
12
d
16
e
14
f
8
5
What is the length of X?
An svg image showing a math problem
a
10
b
15
c
12
d
11
e
8
6
What is the length of X?
An svg image showing a math problem
a
16
b
13
c
9
d
17
e
12
7
What is the length of X?
An svg image showing a math problem
a
9
b
16
c
19
d
13
e
14
8
What is the length of X?
An svg image showing a math problem
a
12
b
13
c
18
d
16
e
8
f
17